Prof. Claude LeBrun.
Office: Math Tower 3-108.
Office hours: TTh 2:30-3:30
This course constitutes the first half of a two-semester
Riemannian geometry. Presupposing only a basic
manifolds and tensor fields, we will first develop
a working knowledge of Riemannian metrics, connections, and curvature.
We will then begin our study of the interplay between
topology and curvature.
Prerequisite: Geometry/Topology II, a passing grade
on the comprehensive exam, or the professor's expressed permission.
by Manfredo Do Carmo,
Homework exercises will be assigned frequently, but only collected on a sporadic basis. You will be expected to work these in considerable detail. Knowing how to calculate is essential for a real understanding of this subject!
Grades will be based on homework and class participation.
You may e-mail the professor by . This is the best method for making appointments outside normal office hours.
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DSS advisory. If you have a physical, psychiatric, medical, or learning disability that may affect your ability to carry out the assigned course work, please contact the office of Disabled Student Services (DSS), Humanities Building, room 133, telephone 632-6748/TDD. DSS will review your concerns and determine what accommodations may be necessary and appropriate. All information regarding any disability will be treated as strictly confidential.
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Illustration: Family of isometric immersions of a surface into ℝ3, deforming the helicoid to a catenoid, and back.